Question

Here is a square inscribed in a circle with radius 1 meter. what is the perimeter of the square?

Answer 1

P = 4sqrt2 meters

Explanation:

The diagonal of the square is the diameter of the circle. The radius is given, it is 1 meter. The diameter would then be 2 meters.

If you just consider the diagonal and just two sides, it is a 45°-45°-90° triangle. If the hypotenuse is 2, then the legs are sqrt2. This is a side of the square. Each side of the square is ssqrt2. There are four sides.

To find the perimeter, add up all four sides. Or since its a square and all four sides are the same, times by 4

Perimeter = 4sqrt2 meters